Work

Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II

Year: 2025

Type: article

Abstract: We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscillatory elastic composites.

Source: Communications in Mathematical Physics

DOI: 10.1007/s00220-024-05221-1

Authors: Kirill Cherednichenko, Alexander V. Kiselev, Igor Velčić, Josip Žubrinić

Institutions: University of Bath, University of Zagreb, Faculty of Electrical Engineering and Computing in Zagreb

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Hrvatska Zaklada za Znanost, Engineering and Physical Sciences Research Council

Awards: Homogenization, dimension reduction and structural optimization in continuum mechanics, Homogenization and Optimization in Mechanics of Solids, G6223242989, Mathematical foundations of metamaterials: homogenisation, dissipation and operator theory, Quantitative tools for upscaling the micro-geometry of resonant media, G7852180917

OpenAlex ID: W4408166139

FWCI: 2.417

Cites: 51

Cited by: 5

Related to: 10